Elliptic curve isogeny class with Cremona label 119850p (LMFDB label 119850.e)

• Label: 119850p
• Number of curves: $1$
• Conductor: $119850$
• CM: no
• Rank: $0$

Rank

The elliptic curve 119850p1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(17\)	\(1 + T\)
\(47\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 119850p do not have complex multiplication.

Modular form 119850.2.a.p

Elliptic curves in class 119850p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
119850.e1	119850p1	\([1, 1, 0, -666825, 172477125]\)	\(83946059729774905/15574510338048\)	\(6083793100800000000\)	\([]\)	\(3192000\)	\(2.3225\)	\(\Gamma_0(N)\)-optimal